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Mathematics 6 Online
OpenStudy (anonymous):

Explain how to find the exact value of sin120

OpenStudy (anonymous):

@akhaliq99

OpenStudy (anonymous):

Isn't it the same as sin30?

jimthompson5910 (jim_thompson5910):

|dw:1359950211928:dw|

jimthompson5910 (jim_thompson5910):

so sin(120) = sin(60)

OpenStudy (anonymous):

How do you find sin 0?

OpenStudy (anonymous):

there's no triangle?

jimthompson5910 (jim_thompson5910):

sin(60) you mean?

OpenStudy (anonymous):

no, sin 0

jimthompson5910 (jim_thompson5910):

oh sin(0) = 0

jimthompson5910 (jim_thompson5910):

look at the unit circle, at the angle theta = 0 the height of the "triangle" there is 0

OpenStudy (anonymous):

but how do you know that? cos 0 is 1 for some reason i don't know

jimthompson5910 (jim_thompson5910):

sin(theta) corresponds to the height of the triangle on the unit circle

jimthompson5910 (jim_thompson5910):

|dw:1359952557784:dw|

jimthompson5910 (jim_thompson5910):

|dw:1359952578067:dw|

jimthompson5910 (jim_thompson5910):

now if theta was theta = 1, then you'd have something like this |dw:1359952647658:dw|

jimthompson5910 (jim_thompson5910):

as theta gets smaller and smaller, so does sin(theta) so that's why sin(0) = 0

OpenStudy (anonymous):

huh? but how is there a triangle if the angle is 0?

jimthompson5910 (jim_thompson5910):

there isn't, but try finding sin(1), sin(0.5), sin(0.01), sin(0.001) and tell me what you get

OpenStudy (anonymous):

you can't tell me what to do

jimthompson5910 (jim_thompson5910):

I'm just trying to get you to think

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